A Capacity Associated with the Weighted Lebesgue Space and Its Applications
In this paper, we focus on a further study of the weighted Lebesgue capacity associated with the following fractional heat equation: ∂t+−Δxαut,x=0, ∀α,t,x∈0,1×0,∞×ℝn,u0,x=fx, ∀x∈ℝn.. More properties of that capacity are explored, and applications to a trace inequality for the weak solution of the eq...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/1257963 |
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| _version_ | 1832567598193049600 |
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| author | Guoliang Li Guanglan Wang Lei Zhang |
| author_facet | Guoliang Li Guanglan Wang Lei Zhang |
| author_sort | Guoliang Li |
| collection | DOAJ |
| description | In this paper, we focus on a further study of the weighted Lebesgue capacity associated with the following fractional heat equation: ∂t+−Δxαut,x=0, ∀α,t,x∈0,1×0,∞×ℝn,u0,x=fx, ∀x∈ℝn.. More properties of that capacity are explored, and applications to a trace inequality for the weak solution of the equation are considered. |
| format | Article |
| id | doaj-art-8ed5bb153ea646609db29475a1e6ffc3 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-8ed5bb153ea646609db29475a1e6ffc32025-02-03T01:01:10ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/1257963A Capacity Associated with the Weighted Lebesgue Space and Its ApplicationsGuoliang Li0Guanglan Wang1Lei Zhang2School of Mathematical ScienceDepartment of MathematicsDepartment of MathematicsIn this paper, we focus on a further study of the weighted Lebesgue capacity associated with the following fractional heat equation: ∂t+−Δxαut,x=0, ∀α,t,x∈0,1×0,∞×ℝn,u0,x=fx, ∀x∈ℝn.. More properties of that capacity are explored, and applications to a trace inequality for the weak solution of the equation are considered.http://dx.doi.org/10.1155/2022/1257963 |
| spellingShingle | Guoliang Li Guanglan Wang Lei Zhang A Capacity Associated with the Weighted Lebesgue Space and Its Applications Journal of Function Spaces |
| title | A Capacity Associated with the Weighted Lebesgue Space and Its Applications |
| title_full | A Capacity Associated with the Weighted Lebesgue Space and Its Applications |
| title_fullStr | A Capacity Associated with the Weighted Lebesgue Space and Its Applications |
| title_full_unstemmed | A Capacity Associated with the Weighted Lebesgue Space and Its Applications |
| title_short | A Capacity Associated with the Weighted Lebesgue Space and Its Applications |
| title_sort | capacity associated with the weighted lebesgue space and its applications |
| url | http://dx.doi.org/10.1155/2022/1257963 |
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